MATH 2004 Lecture Notes - Saddle Point, Maxima And Minima, Lagrange Multiplier
3 Mar 2014
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Periodicity: f (x) is periodic if there is p>0 such that which a fourier series acts before being repeated. f ( x+ p)=f (x) , the x interval along over is odd if f ( x)= f ( x) A0=0 , an=0 is even if f ( x)=f (x) Fourier sine coefficient, b(n), becomes f ( x) f (x) zero. Associates a given function with a repeating sine & cosine function described by: X(t)=(x, y ,z: parametric form: x= p1+t v1 y= p2+t v2 z= p3+t v3. Lines are parallel if they have a common multiplier. Planes: point-normal form: ( x p, n=0 , where. Distance between a point, p( p1 , p2 , p3) and a plane, ax+by+cz=d : First & second derivative: dy dx dy dt dx dt d2 y d x2 = d dt ( dy dt dx dt. 2 y(t ) [x" (t )]2+[ y" (t)]2 dt.
